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Finding the Fourth Proportional to 385.07, 578.03 and 202.42

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Solution

The fourth proportional to 385.07, 578.03 and 202.42 is: 303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.07 : 578.03 = 202.42 : x
  2. Step 2: Convert to fraction form
    385.07/578.03 = 202.42/x
  3. Step 3: Cross multiply
    385.07x = 578.03 × 202.42
  4. Step 4: Simplify right side
    385.07x = 117,000.93
  5. Step 5: Solve for x
    x = 117,000.93/385.07
  6. Step 6: Final answer
    x = 303.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.